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Finding the Third Proportional to 51,481.75 and 105,471.75

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Solution

The third proportional to 51,481.75 and 105,471.75 is: 216,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481.75 : 105,471.75 = 105,471.75 : x
  2. Step 2: Convert to fraction form
    51,481.75/105,471.75 = 105,471.75/x
  3. Step 3: Cross multiply
    51,481.75x = 105,471.75 × 105,471.75
  4. Step 4: Simplify right side
    51,481.75x = 11,124,290,048.06
  5. Step 5: Solve for x
    x = 11,124,290,048.06/51,481.75
  6. Step 6: Final answer
    x = 216,082.20

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.